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Finding the Fourth Proportional to 22,503.50, 33,759.86 and 7,713.57

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Solution

The fourth proportional to 22,503.50, 33,759.86 and 7,713.57 is: 11,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,503.50 : 33,759.86 = 7,713.57 : x
  2. Step 2: Convert to fraction form
    22,503.50/33,759.86 = 7,713.57/x
  3. Step 3: Cross multiply
    22,503.50x = 33,759.86 × 7,713.57
  4. Step 4: Simplify right side
    22,503.50x = 260,409,062.58
  5. Step 5: Solve for x
    x = 260,409,062.58/22,503.50
  6. Step 6: Final answer
    x = 11,571.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.